To solve the system of equations, let's use the method of substitution.
First, let's solve the first equation for y:
3x + y = 2
y = 2 - 3x
Now substitute the value of y in the second equation:
7x - 4(2 - 3x) = 30
7x - 8 + 12x = 30
19x - 8 = 30
19x = 38
x = 2
Substitute the value of x back into the first equation to find y:
3(2) + y = 2
6 + y = 2
y = -4
Therefore, the solution to the system of equations is (2, -4).
Solve the system of equations.
3x+y=2
7x−4y=30(1 point)
Responses
(2, −2)
left parenthesis 2 comma negative 2 right parenthesis
(2, −4)
left parenthesis 2 comma negative 4 right parenthesis
(12, 12)
left parenthesis start fraction 1 over 2 end fraction comma start fraction 1 over 2 end fraction right parenthesis
(−2, 8)
1 answer
1 answer